Homoclinic bifurcation of a state feedback impulsive controlled prey–predator system with Holling-II functional response

被引：1
|
作者：
Meng Zhang
Lansun Chen
Zeyu Li
机构：
[1] Beijing University of Civil Engineering and Architecture,School of Science
[2] Purdue University,Department of Mathematics
[3] Chinese Academy of Sciences,Academy of Mathematics and Systems Science
[4] Beijing Technology and Business University,Canvard College
来源：
Nonlinear Dynamics | 2019年 / 98卷
关键词：
State feedback; Impulsive model; Homoclinic bifurcation; Order-1 periodic solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Keeping ecological balance between prey and predator population in ocean fishery is of great importance in fishery. A free developed two species prey–predator model with Holling-II functional response is carried out, and its fine case equilibrium is discussed. Then, the state feedback model which assumes the harvest of predator and supplement of prey as impulsive disturbance is presented to find the dynamical balance between prey and predator population. The existence of homoclinic cycle and order-1 periodic solution and the orbital asymptotical stability of the order-1 periodic solution are proved. Finally, some numerical simulations are displayed to confirm the results obtained in the paper.
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页码：929 / 942
页数：13
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